Chapter 11: Q8P (page 292)
Multiply \({\bf{3}}{\bf{.079 \times 1}}{{\bf{0}}^{\bf{2}}}{\bf{ m}}\) by \({\bf{0}}{\bf{.068 \times 1}}{{\bf{0}}^{{\bf{ - 1}}}}{\bf{ m}}\),taking into account significant figures.
The correct answer for multiplication is 2.1 m.
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One end of a horizontal string is attached to a small amplitude mechanical 60.0-Hz oscillator. The string’s mass per unit length is\({\bf{3}}.{\bf{5}} \times {\bf{1}}{{\bf{0}}^{ - {\bf{4}}}}{\rm{ }}{\bf{kg}}{\rm{/}}{\bf{m}}\). The string passes over a pulley, a distance \({\bf{l}} = {\bf{1}}.{\bf{50}}{\rm{ }}{\bf{m}}\)away, and weights are hung from this end, Fig. 11–55. What mass m must be hung from this end of the string to produce (a) one loop, (b) two loops, and (c) five loops of a standing wave? Assume the string at the oscillator is a node, which is nearly true.
A block of mass M is suspended from a ceiling by a spring with spring stiffness constant k. A penny of mass m is placed on top of the block. What is the maximum amplitude of oscillations that will allow the penny to just stay on top of the block? (Assume \(m \ll M\).)
Write out the following numbers in full with the correct number of zeros: (a)\({\bf{8}}{\bf{.69 \times 1}}{{\bf{0}}^{\bf{4}}}\), (b)\({\bf{9}}{\bf{.1 \times 1}}{{\bf{0}}^{\bf{3}}}\), (c)\({\bf{8}}{\bf{.8 \times 1}}{{\bf{0}}^{{\bf{ - 1}}}}\), (d)\({\bf{4}}{\bf{.76 \times 1}}{{\bf{0}}^{\bf{2}}}\), and (e)\({\bf{3}}{\bf{.62 \times 1}}{{\bf{0}}^{{\bf{ - 5}}}}\).
Estimate the average power of a moving water wave that strikes the chest of an adult standing in the water at the seashore. Assume that the amplitude of the wave is 0.50 m, the wavelength is 2.5 m, and the period is 4.0 s.
How much longer (percentage) is a one-mile race than a 1500-mile race (“the metric mile”)?
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